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Finding the Third Proportional to 297,810 and 649,144

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Solution

The third proportional to 297,810 and 649,144 is: 1,414,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,810 : 649,144 = 649,144 : x
  2. Step 2: Convert to fraction form
    297,810/649,144 = 649,144/x
  3. Step 3: Cross multiply
    297,810x = 649,144 × 649,144
  4. Step 4: Simplify right side
    297,810x = 421,387,932,736
  5. Step 5: Solve for x
    x = 421,387,932,736/297,810
  6. Step 6: Final answer
    x = 1,414,955.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.